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Physics
Quantum Physics
Quantum Mechanics
1. Historical Development and Foundations
2. Mathematical Foundations
3. Wave Function Formalism
4. Quantum Mechanical Operators
5. Hilbert Space and Dirac Notation
6. One-Dimensional Systems
7. Three-Dimensional Systems
8. Angular Momentum Theory
9. The Hydrogen Atom
10. Approximation Methods
11. Identical Particles and Many-Body Systems
12. Scattering Theory
13. Quantum Mechanics of Radiation
14. Relativistic Quantum Mechanics
15. Interpretations and Foundations
16. Advanced Topics
10.
Approximation Methods
10.1.
Perturbation Theory
10.1.1.
Time-Independent Perturbation Theory
10.1.1.1.
Non-Degenerate Case
10.1.1.2.
First-Order Corrections
10.1.1.3.
Second-Order Corrections
10.1.1.4.
Degenerate Case
10.1.1.5.
Matrix Diagonalization
10.1.2.
Time-Dependent Perturbation Theory
10.1.2.1.
Sudden Approximation
10.1.2.2.
Adiabatic Approximation
10.1.2.3.
Periodic Perturbations
10.1.2.4.
Fermi's Golden Rule
10.2.
Variational Method
10.2.1.
Variational Principle
10.2.2.
Trial Wave Functions
10.2.3.
Ground State Energies
10.2.4.
Excited States
10.2.5.
Applications
10.2.5.1.
Helium Atom
10.2.5.2.
Molecular Systems
10.3.
WKB Approximation
10.3.1.
Semiclassical Method
10.3.2.
Classical Turning Points
10.3.3.
Connection Formulas
10.3.4.
Quantization Conditions
10.3.5.
Tunneling Applications
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9. The Hydrogen Atom
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11. Identical Particles and Many-Body Systems